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Least Common Multiple (LCM) of 73 and 75

The least common multiple (LCM) of 73 and 75 is 5475.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 73 and 75?

First, calculate the GCD of 73 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 75 = 0 remainder 73
2 75 ÷ 73 = 1 remainder 2
3 73 ÷ 2 = 36 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 1219680
164 and 376068
65 and 795135
188 and 6311844
84 and 1362856

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